Algebra Examples

${(\frac{m}{n^{2}})}^{- 2}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{n^{2}}{m})}^{2}$

Step 2

Apply the product rule to $\frac{n^{2}}{m}$ .

$\frac{{(n^{2})}^{2}}{m^{2}}$

Step 3

Multiply the exponents in ${(n^{2})}^{2}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{n^{2 \cdot 2}}{m^{2}}$

Step 3.2

Multiply $2$ by $2$ .

$\frac{n^{4}}{m^{2}}$